They might come down a notch, but "failed" conjectures can still be quite interesting, in many ways: https://en.wikipedia.org/wiki/Mertens_conjecture https://e

They might come down a notch, but "failed" conjectures can still be quite interesting, in many ways: https://en.wikipedia.org/wiki/Mertens_conjecture https://en.wikipedia.org/wiki/Mertens_conjecture